True: volume of the yogurt is less than the volume of the cone
To calculate the volume of a cone, you use the formula V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone. In this case, the cone has a diameter of 11 cm, so the radius is 5.5 cm and the height is 5 cm. Plugging these values into the formula, the volume of the cone is approximately 96.19 cubic cm.
The volume of a sphere can be calculated using the formula V = (4/3)πr^3. Plugging in the radius of 2.5 cm (half of the diameter of 5 cm), the volume of the sphere is approximately 65.45 cubic cm.
Since the volume of the yogurt (sphere) is less than the volume of the cone, the statement is true.
If Bill gets a full scoop of frozen yogurt in a cone, with the scoop being a
perfect sphere with a diameter of 5 cm, then the yogurt would NOT fill up
the inside of the cone if you pushed it down into the cone.
5cm
11 cm
(2 points)
True: volume of the yogurt is more than the volume of the cone
False: volume of the cone is less than the volume of the yogurt
True: volume of the yogurt is less than the volume of the cone
False: volume of the cone is more than the volume of the yogurt
1 answer
1 answer